Directions: What value will come in place of question mark (?) in the following questions: (You are not expected to calculate the exact value)
1
38.98 × 195.98 ÷ 41.87 = ?1/2 – 84.03 × 7.06 ÷ 441.02
» Explain it
C
38.98 × 195.98 ÷ 41.87 = ?1/2 – 84.03 × 7.06 ÷ 441.02
 
≈ 39 × 196 ÷ 42 = ?1/2 – 84 × 7 ÷ 441
 
39 × 14 ÷ 42 = ?1/2 – 84 × 7 ÷ 21
 
13 = ?1/2 – 28
 
13 + 28 = ?1/2
 
41 = ?1/2
 
? = 1681 ≈ 1680

Hence, option C is correct.
2
18.006 × ? × 27.987 + 28% of 640 + 25% of 830 = 8954.784
» Explain it
A
18.006 × ? × 27.987 + 28% of 640 + 25% of 830 = 8954.784

18 × 28 ×  ? + 179.2 + 207.5 = 8954.784

504 ×  ? = 8954.784 – 386.7

504 ×  ? = 8568.084
 
? =  8568.084
504

? = 17

Hence, option (A) is correct.

3
156.8 × 5 – 10648
 = 2
14 × 12 + 132 + (?)2
» Explain it
A
156.8 × 5 – 10648
 = 2
14 × 12 + 132 + (?)2

784 – 22  = 2
168 + 132 + (?)2

762  = 2
300 + (?)2
762 = 2 × (300 + (?)2)

762 = 600 + 2 × (?)2

2 × (?)2 = 162

(?)2 = 81

(?)2 = 92

? = 9

Hence, option (A) is correct.
 
4
5.6  ×  11.4
3.8 8.4
 % of 10863
35.5  ×  25.5
5 5
» Explain it
D
5.6  ×  11.4
3.8 8.4
 % of 10863
35.5  ×  25.5
5 5

5.6 × 11.4 × 5 × 5  % of 10863
3.8 × 8.4 × 35.5 × 25.5

2.8 × 2 × 3.8 × 3 × 5 × 5   % of 10863
3.8 × 2.8 × 3 × 7.1 × 5 × 5.1 × 5

2  % of 10863
7.1 × 5.1

200  % of 10863
3621

10863 × 200  ×  1
3621 100

10863 × 2
3621

(3 × 3621) ×  2
3621

3 × 3621 × 2
3621
3 × 2 = 6

Hence, option (D) is correct.
 
5
9723.88 ÷ 67.94 + 47.08 × 4.02/ 6.13 = ?2 – 22
» Explain it
D
9723.88 ÷ 67.94 + 47.08 × 4.02/ 6.13 = ?2 – 22

?2 = 9724 ÷ 68 + 47 × 4/ 6 + 22

?2 = 143 + 31.33 + 22

?2 = 165 + 31

?2 = 196

? = 14

Hence, option D is correct.